Extending nonstandard finite difference schemes rules to systems of nonlinear ODEs with constant coefficients
Comparison of the order of the methods in the tree test-case
Abstract
In this paper, we present a reformulation of Mickens rules for nonstandard finite difference (NSFD) scheme to adapt them to systems of ODEs. This leads to exact schemes in the linear case, and also improve the accuracy in the nonlinear case. In the Hamiltonian nonlinear case, it consists in adding correction terms to schemes derived by Mickens.
Type
Publication
Journal of Difference Equations and Applications, 30(5), 577–602 (2024)
